The first law of black brane mechanics

Details The first law of black brane mechanics The first law of black brane mechanics

2001-07-26

arxiv.org/abs/hep-th/0107228v2

Class.Quant.Grav. 18 (2001) 5269-5286

Physics

High Energy Physics

High Energy Physics - Theory

20 pp, minor revision plus extra reference

Scientific paper

10.1088/0264-9381/18/23/320

We obtain ADM and Komar surface integrals for the energy density, tension and angular momentum density of stationary $p$-brane solutions of Einstein's equations. We use them to derive a Smarr-type formula for the energy density and thence a first law of black brane mechanics. The intensive variable conjugate to the worldspace p-volume is an `effective' tension that equals the ADM tension for uncharged branes, but vanishes for isotropic boost-invariant charged branes.

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